6238634112 has 96 divisors (see below), whose sum is σ = 18334442880. Its totient is φ = 2035281408.

The previous prime is 6238634107. The next prime is 6238634117. The reversal of 6238634112 is 2114368326.

6238634112 is a `hidden beast` number, since 6 + 2 + 3 + 8 + 634 + 1 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (6238634107) and next prime (6238634117).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×6238634112³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6238634117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3468 + ... + 111755.

It is an arithmetic number, because the mean of its divisors is an integer number (190983780).

Almost surely, 2^6238634112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6238634112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9167221440).

6238634112 is an abundant number, since it is smaller than the sum of its proper divisors (12095808768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6238634112 is a wasteful number, since it uses less digits than its factorization.

6238634112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115290 (or 115275 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 6238634112 is about 78985.0246059340. The cubic root of 6238634112 is about 1840.8984773935.

The spelling of 6238634112 in words is "six billion, two hundred thirty-eight million, six hundred thirty-four thousand, one hundred twelve".